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Simplifying -5 + 4(8m + 1) = -1(3m + 1) Reorder the terms: -5 + 4(1 + 8m) = -1(3m + 1) -5 + (1 * 4 + 8m * 4) = -1(3m + 1) -5 + (4 + 32m) = -1(3m + 1) Combine like terms: -5 + 4 = -1 -1 + 32m = -1(3m + 1) Reorder the terms: -1 + 32m = -1(1 + 3m) -1 + 32m = (1 * -1 + 3m * -1) -1 + 32m = (-1 + -3m) Add '1' to each side of the equation. -1 + 1 + 32m = -1 + 1 + -3m Combine like terms: -1 + 1 = 0 0 + 32m = -1 + 1 + -3m 32m = -1 + 1 + -3m Combine like terms: -1 + 1 = 0 32m = 0 + -3m 32m = -3m Solving 32m = -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 32m + 3m = -3m + 3m Combine like terms: 32m + 3m = 35m 35m = -3m + 3m Combine like terms: -3m + 3m = 0 35m = 0 Divide each side by '35'. m = 0 Simplifying m = 0
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